102 citations · 246 across the 25 of their papers we have counts for
25 papers
Buckling Prediction for Nonlinear Elastic Beams with Soft Inclusions
Thien Tran-Duc, J. E. Bunder, A. J. Roberts
We develop an efficient and accurate multiscale computational framework for predicting the buckling and post-buckling behaviour of elastic beams containing periodically distributed…
Efficient prediction of static and dynamical responses of functional graded beams using sparse multiscale patches
Thien Tran-Duc, J. E. Bunder, A. J. Roberts
We develop a multiscale patch scheme for studying the system level characteristics of heterogeneous functional graded beams. The algorithm computes the detailed beam dynamics on th…
Efficient computational homogenisation of 2D beams of heterogeneous elasticity using the patch scheme
Thien Tran-Duc, J. E. Bunder, A. J. Roberts
Modern 'smart' materials have complex heterogeneous microscale structure, often with unknown macroscale closure but one we need to realise for large scale engineering and science.…
Learning high-order spatial discretisations of PDEs with symmetry-preserving iterative algorithms
J. E. Bunder, A. J. Roberts
Common techniques for the spatial discretisation of PDEs on a macroscale grid include finite difference, finite elements and finite volume methods. Such methods typically impose as…
Adaptively detect and accurately resolve macro-scale shocks in an efficient Equation-Free multiscale simulation
John Maclean, J. E. Bunder, I. G. Kevrekidis +1
The Equation-Free approach to efficient multiscale numerical computation marries trusted micro-scale simulations to a framework for numerical macro-scale reduction -- the patch dyn…
Linking Machine Learning with Multiscale Numerics: Data-Driven Discovery of Homogenized Equations
Hassan Arbabi, Judith E. Bunder, Giovanni Samaey +2
The data-driven discovery of partial differential equations (PDEs) consistent with spatiotemporal data is experiencing a rebirth in machine learning research. Training deep neural…